a teacher has created a 100 point test with 22 questions. If each multiple choice question is worth 4 points and each short answer is worth 6 points. How many of each type are on the test?

Step-by-step explanation: 5

Answer:

I need points!!!!!!!!

Step-by-step explanation:

EWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

In Sevilla in the year 1842, you are Miguel Cervantes de Navas y Colon, a captain in the Royal Spanish Army. The total number of cannonballs in the stack is 385.

Given that,

In Sevilla in the year 1842, you are Miguel Cervantes de Navas y Colon, a captain in the Royal Spanish Army.

A pile of cannonballs is seen outside the window of your barracks.

​The total number of cannonballs can be calculated using the steps below:

The following is a general formula to determine how many cannonballs are altogether in the stack:

Total number of cannonballs is n(n+1)(2n+1)/6

where "n" represents the overall number of layers.

Change the value of "n" in the formula above.

1st layer is stack of cannonballs is 1²=1 cannonball.

2nd layer is stack of cannonballs is 2²=4 cannonballs.

3rd layer is stack of cannonballs is 3²=9 cannonballs.

last layer is stack of cannonballs is 10²=100 cannonballs.

n is 10.

Substitute in the formula

=10(10+1)(2×10+1)/6

=10×11×21/6

=385

Therefore, the total number of cannonballs in the stack is 385.

To learn more about cannonballs visit: https://brainly.com/question/5056521

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Answer:

1/8

Step-by-step explanation:

First, take 3/4 and make a common denominator with 3/8. You can make 3/4 into 6/8. Now, subtract 3/8 from 6/8 which is 3/8.

Second, find the common denominator between 3/8 and 1/2. You can make 1/2 into 4/8.

Third. Now subtract 3/8 from 4/8. You get 1/8.

The answer therefore is 1/8

btw its an easy question!

Answer:

[tex]y-1=\frac{1}{8}\left(x-7\right)[/tex] is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).

Step-by-step explanation:

The endpoints:

Calculating the Midpoint M of BC:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)[/tex]

The Midpoint M of BC [tex]=\left(\frac{8+6}{2},\:\frac{-7+9}{2}\right)[/tex]

                                     [tex]=\left(7,\:1\right)[/tex]

Calculating the slope of BC:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)[/tex]

[tex]m=\frac{-7-9}{8-6}[/tex]

[tex]m=-8[/tex]

Given a line with slope [tex]m[/tex] then the slope of a

line  perpendicular to it is:

[tex]m_{prependicular}=-\frac{1}{m}=-\frac{1}{-8}=\frac{1}{8}[/tex]

Equation of line using point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-1=\frac{1}{8}\left(x-7\right)[/tex]        

Therefore, [tex]y-1=\frac{1}{8}\left(x-7\right)[/tex] is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).                                          

what kind of flower shop are you talking about

Answer:

(3, -2)

Step-by-step explanation:

Answer:

EF=35

EG=44

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

It’s 1440

Answer:

(a) x + 3(x + 4) = 5(x + 2) - 5

(b) youngest: 7 years old

middle: 9 years old

oldest: 11 years old

Step-by-step explanation:

(a)

We know that x is the youngest child's age. Since the sisters' ages are consecutive odd integers, we know that the ages differ by 2. So, the middle sister's age is x + 2 and the oldest sister's age is x + 4.

Our equation to model the sentence "the sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age" would be:

x + 3 * (x + 4) = 5 * (x + 2) - 5

x + 3(x + 4) = 5(x + 2) - 5

(b)

Now, we can just solve the equation above:

x + 3(x + 4) = 5(x + 2) - 5

x + 3x + 12 = 5x + 10 - 5

4x + 12 = 5x + 5

x = 12 - 5 = 7

So, the youngest sister is 7 years old.

That means the middle sister is 7 + 2 = 9 years old, and the oldest sister is 9 + 2 = 11 years old.

The ages, then, are:

youngest: 7 years old

middle: 9 years old

oldest: 11 years old

Answer:

Alright, here is the formula.

m = (y2 -- y1) / (x2 -- x1)

So, now we have to take the points and replace them with the variables.

m = (1 - 2) / (-2 - 4)

Great! So now, we have to solve.

1 - 2 = -1

-2 - 4 = -6

So now, it would be:

-1/6

That is the slope! Hope this helps! :)

Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

                                       width = 5 feet

                                       height = 8 feet

The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]x^{2}[/tex] = [tex]6^{2}[/tex] + [tex]5^{2}[/tex]

[tex]x^{2}[/tex] = 36 + 25

   = 61

x = [tex]\sqrt{61}[/tex]

  = 7.81

let the length of the diagonal support be represented by l. So that;

[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]l^{2}[/tex] = [tex]x^{2}[/tex] + [tex]8^{2}[/tex]

  = [tex]\sqrt{61}[/tex] + 64

l  = [tex]\sqrt{\sqrt{61} + 64 }[/tex]

  = 61 + 8

  = 69

Thus, the length of the diagonal support is 69 feet.

Answer:

first second and third i believe

Step-by-step explanation:

Answer:

the first and third

Step-by-step explanation:

hope i was right lol

Answer:

its A

Step-by-step explanation:

cognitive means concerned about a choice or something like a question

and im in elementary and i know it XD

Answer:

4/a

Step-by-step explanation:

I need help on this asap I'm stuck on these questions

Answer:

There is no picture

Oi! Katsuki here!

This question's answer is $12.64.

A thanks would be helpful! Have a great day!

Baku out!

$12.64Answer:

brainliest?Step-by-step explanation:

Answer:

sam houston because Lamar was against annexation

Step-by-step explanation:

Answer:

1 1/2 = 3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

because the whole number one is equal to 2 halves for it would be 2+1 which would give u 3 over 2 hope that helps :)

Answer:

90 divided by 2

Step-by-step explanation:

you're going to do 90 divided by 2 and then you get 45

Answer:

Hehe boi

Step-by-step explanation:

Answer:

10.5 inches

Step-by-step explanation:

Answer:436

Step-by-step explanation:

Since Colin scored 141 and Brian scored 154 more than Colin that would be (154+141). So Brian scored 295, so you add Brian's score and Colin's so 295+141, the total score is 436

Answer:

for (8,4) is 2 and for (20,_4) is _5